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Finding the Third Proportional to 210,199,942.50 and 491,121,930

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Solution

The third proportional to 210,199,942.50 and 491,121,930 is: 1,147,482,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,199,942.50 : 491,121,930 = 491,121,930 : x
  2. Step 2: Convert to fraction form
    210,199,942.50/491,121,930 = 491,121,930/x
  3. Step 3: Cross multiply
    210,199,942.50x = 491,121,930 × 491,121,930
  4. Step 4: Simplify right side
    210,199,942.50x = 241,200,750,126,924,896
  5. Step 5: Solve for x
    x = 241,200,750,126,924,896/210,199,942.50
  6. Step 6: Final answer
    x = 1,147,482,474.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.